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Lobachevsky geometry
In the hyperbolic geometry there are infinitely many parallels.
Explanation
One characteristic of this non euclidean geometry, is that there are an infinite number of parallels.
Number of parallels Sum of the angles in a triangle Ratio of the size and diameter of a circle Strength of the curvature Lobachevsky ∞ < 180° > π < 0 Euclides 1 180° π 0 Riemann 0 > 180° < π > 0
Differences from other geometries.
HistoryThe name is a tribute to the Russian mathematician Nikolai Lobachevsky (1792 - 1856).56). |